What is the 9966th prime number?
The 9966th prime number is 104369. The next prime is 104381 (a gap of 12) and the one before is 104347.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 9966th one is 104369.
- 2
104369 is prime because no prime up to ā104369 ā 323.06 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9966th prime is close to 9966 Ć ln(9966) ā 91756, and here it is 104369.
- 4
104369 has no twin: neither 104367 nor 104371 is prime.
Primes around the 9966th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9963 | 104323 | 12 |
| 9964 | 104327 | 4 |
| 9965 | 104347 | 20 |
| 9966 | 104369 | 22 |
| 9967 | 104381 | 12 |
| 9968 | 104383 | 2 |
| 9969 | 104393 | 10 |
Questions
What is the 9966th prime number?
104369.
Which prime number is 104369?
104369 is the 9966th prime number.
What is the sum of the first 9966 primes?
492,609,921.